Classification of bifurcation curves of positive solutions for a nonpositone problem with a quartic polynomial

DOI10.3934/CPAA.2016.15.1497zbMath1408.34026OpenAlexW2337849186MaRDI QIDQ324021

Yi-Jung Lee, Kuan-Ju Huang, Tzung-Shin Yeh

Publication date: 10 October 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2016.15.1497

zbMATH Keywords

exact multiplicitytime mapS-shaped bifurcation curvebroken S-shaped bifurcation curvenonpositone problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcation theory for ordinary differential equations (34C23) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

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• Global bifurcation and exact multiplicity of positive solutions for a positone problem with cubic nonlinearity and their applications
• Exact multiplicity results for boundary value problems with nonlinearities generalising cubic

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